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21301100110312 = 2311222005268709
BaseRepresentation
bin1001101011111100011001…
…00000010110000111101000
32210102100212021212100112021
410311332030200112013220
510242444123112012222
6113145331300554224
74325645055336061
oct465761440260750
983370767770467
1021301100110312
11687282276a400
1224803673b2974
13bb68ba29a109
14538d9b973568
1526e155664ac7
hex135f8c8161e8

21301100110312 has 24 divisors (see below), whose sum is σ = 43900511076450. Its totient is φ = 9682318231520.

The previous prime is 21301100110307. The next prime is 21301100110357.

It is a happy number.

21301100110312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 18910965558276 + 2390134552036 = 4348674^2 + 1546006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11002633387 + ... + 11002635322.

Almost surely, 221301100110312 is an apocalyptic number.

21301100110312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21301100110312 is an abundant number, since it is smaller than the sum of its proper divisors (22599410966138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21301100110312 is a wasteful number, since it uses less digits than its factorization.

21301100110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22005268737 (or 22005268722 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 21301100 and 110312, that added together give a palindrome (21411412).

The spelling of 21301100110312 in words is "twenty-one trillion, three hundred one billion, one hundred million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 22005268709 44010537418 88021074836 176042149672 242057955799 484115911598 968231823196 1936463646392 2662637513789 5325275027578 10650550055156 21301100110312